Calculating Force Needed to Push Water Through a Hose

AI Thread Summary
To calculate the force required to push water through a hose, Bernoulli's equation is essential for determining the pressure difference between two points. The velocity remains constant due to the unchanged cross-sectional area of the tubing. The net pressure can be calculated using the formula PA=F, where P is the pressure and A is the area. To find the minimum force needed to push water vertically 40 cm through 5/16 inch tubing, convert all measurements to meters and calculate the pressure based on the height of the water column. Ultimately, understanding the relationship between pressure and force is crucial for this calculation.
Unlockitall
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I was wondering if someone could tell me a formula for how much force is required to push water through a hose. I am going to try to figure out how much force is needed to push water vertically 40 cm through 5/16 inch tubing.
 
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You will need to use Bernoulli's equation to find the difference in pressure at the two points. Note that the velocity at both points is the same as the cross sectional area does not change. After you have the difference in pressure, that will give you the "net pressure". Now remember that PA=F. Net pressure you calculated and area is just pi * r^2.

Just make sure to convert the units into meters before you plug the numbers in.
 
Without information about how much velocity you want, the only calculation we can do is with height. I'll leave that pressure calculation to you...you should try to figure it out on your own, but we can help if you get stuck.
 
Im not trying to get any particular pressure. All I am trying to find is the least amount needed to force the water through and up.
 
Unlockitall said:
Im not trying to get any particular pressure. All I am trying to find is the least amount needed to force the water through and up.

Remember, F/A = P.

So if you find the pressure, you will find the force.
 
Calculate the weight of a column of water 1 square meter in area and 40cm high and you'll have the answer (in pascals).
 

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